LINGO-1 structure

ABSTRACT

This disclosure relates to LINGO-1 polypeptides, LINGO-1 polypeptide/ligand complexes, crystals of LINGO-1 polypeptides, crystals of LINGO-1 polypeptide/ligand complexes, and related methods and software systems.

RELATED APPLICATIONS

This application claims the benefit of U.S. Provisional Application No. 60/765,443, filed Feb. 3, 2006, which is incorporated herein by reference in its entirety.

TECHNICAL FIELD

This disclosure relates to LINGO-1 polypeptides, LINGO-1 polypeptide/ligand complexes, crystals of LINGO-1 polypeptides, crystals of LINGO-1 polypeptide/ligand complexes, and related methods and software systems.

BACKGROUND

LINGO-1 (LRR and Ig domain-containing, Nogo Receptor-interacting protein) is a transmembrane coreceptor with p75. The coreceptors, with the ligand binding Nogo-66 receptor (NogoR), make up the Nogo receptor complex, which is commonly located on neurons. Disabling the Nogo receptor complex in which LINGO-1 is located can induce myelin and nerve fiber growth. LINGO-1 has been shown to be active in myelin-making cells known as oligodendrocytes, and inhibition of LINGO-1 has also been shown to induce myelin formation. Thus LINGO-1 signaling is predicted to be a negative regulator of myelin production.

SUMMARY

In one aspect, the invention features a crystallized LINGO-1 polypeptide.

In another aspect, the invention features a crystallized polypeptide-ligand complex that includes a LINGO-1 polypeptide and a ligand that is an agonist or an antagonist of the LINGO-1 polypeptide.

In yet another aspect, the invention features a method that includes using a three-dimensional model of a LINGO-1 polypeptide to design an agent that binds the LINGO-1 polypeptide.

In a further aspect, the invention features a method that includes using a three-dimensional model of a LINGO-1 polypeptide-ligand complex to design an agent that binds the LINGO-1 polypeptide.

In another aspect, the invention features a method that includes using a three-dimensional model of a complex including a LINGO-1 polypeptide to design an agent that binds the LINGO-1 polypeptide.

In another aspect, the invention features a method that includes selecting an agent by, e.g., performing rational drug design with a three-dimensional structure of a LINGO-1 polypeptide, or a LINGO-1 polypeptide-ligand complex; contacting the agent with the LINGO-1 polypeptide; and detecting an ability of the agent to bind the LINGO-1 polypeptide. In embodiments, the method further includes one or more of: obtaining a supplemental crystalline complex that includes the LINGO-1 polypeptide and the agent; determining the three-dimensional structure of the supplemental crystalline complex; selecting a second agent by, e.g., performing rational drug design with the three-dimensional structure of the supplemental crystalline complex; contacting the second agent with the LINGO-1 polypeptide; and/or detecting the ability of the second agent to bind the LINGO-1 polypeptide. The method can further include one or more of: synthesizing the second agent; detecting an ability of the second agent to inhibit LINGO-1 activity; and/or detecting an ability of the second agent to increase myelin levels in vitro or in vivo.

In embodiments, the LINGO-1 polypeptide in the compositions and methods disclosed herein includes (or consists essentially of) a leucine-rich repeat (LRR) domain, an immunoglobulin-like (Ig-like) domain, and/or a stalk domain, or a combination thereof. In other embodiments, the LINGO-1 polypeptide includes (or consists essentially of) the amino acid sequence from a mammalian (e.g., human) or nonmammalian origin; for example, the LINGO-1 polypeptide can include (or consist of) the amino acid sequence of SEQ ID NO: 1, or a variant thereof (e.g., a conservative susbstitution thereof). In other embodiments, the LINGO-1 polypeptide is crystallized, e.g., is capable of diffracting X-rays to a resolution of at least about 3.7 Å. In embodiments, the crystallized LINGO-1 polypeptide has a space group a P2₁2₁2 or I222. In other embodiments, the crystallized LINGO-1 polypeptide has unit cell dimensions chosen from one or more of: a=201.5 Å, b=149.7 Å, c=157.5 Å, and α=β=γ=90°, a=148.7 Å, b=158.6 Å, c=200.0 Å, and α=β=γe=90°, and a=149.6 Å, b=157.3 Å, c=200.3 Å, and/or α=β=γ=90°. In yet another embodiment, the crystallized LINGO-1 polypeptide has a three-dimensional structure that includes the structural coordinates according to Table 2, +/−a root mean square deviation for alpha carbon atoms of not more than 1.5 Å. In another embodiment, the crystallized LINGO-1 polypeptide has a three-dimensional structure that includes the structural coordinates of an atom chosen from one or more atoms of amino acids Asp13, Arg20, Arg22, Arg43, Glu60, Glu62, Leu94, Leu120, Met123, His176, Tyr142, His145, His185, His209, His233, Ala238, Trp346, Arg347, Asn349, Asn351, Arg352, Gln353, Phe396, Arg408, Leu420, Leu426, Phe438, Asp440, Arg446, Tyr447 and/or Ile459 of the LINGO-1 polypeptide as set forth in SEQ ID NO:1.

In other embodiments, the agent designed or screened using the methods disclosed herein inhibits LINGO-1 activity. For example, the agent can bind LINGO-1 at a ligand binding site and/or interfere with an interaction between LINGO-1 and a ligand. In embodiments, the ligand binding site is located on a concave surface of an LRR domain, e.g., a surface of the LRR domain that includes one or more of Trp346 and Arg352; His185, His209 and His233; Asp13; Glu60 and Glu62; or Arg20, Arg22 and Arg43, according to SEQ ID NO:1. In other embodiments, the ligand binding site is located on a convex surface of an LRR domain, e.g., a surface of the LRR domain that includes one or more of Tyr142 and His145; Leu94, Leu120, and Met123; His176; or Ala238, according to SEQ ID NO:1. In other embodiments, the ligand binding site is located on an Ig domain, e.g., a domain that includes one or more of Arg446 and Tyr447; Arg408, Phe438 and Asp440; Phe396; or Leu420, Leu426 and Ile459, according to SEQ ID NO:1.

In embodiments, the methods disclosed herein include providing a composition including a LINGO-1 polypeptide, ora LINGO-1 polypeptide-ligand complex, and/or crystallizing the composition to form a crystalline complex that includes the LINGO-1 polypeptide, or the LINGO-1 polypeptide-ligand complex. The crystalline complex can diffract X-rays to a resolution of at least about 3.7 Å. The methods disclosed herein can additionally include one or more of the following steps: calculating a distance between an atom of the LINGO-1 polypeptide and an atom of the agent; determining the interaction of the agent with the LINGO-1 polypeptide; comparing the interaction of the agent with the LINGO-1 polypeptide to an interaction of a second agent with the LINGO-1 polypeptide; selecting the agent via computer modeling; synthesizing the agent; detecting the ability of the agent to inhibit LINGO-1 activity; and/or detecting the ability of the agent to increase myelin formation in vitro or in vivo.

In another aspect, the invention features an agent designed or selected using the methods disclosed herein.

In another aspect, the invention features a software system that includes instructions for causing a computer system to accept information relating to the structure of a LINGO-1 polypeptide, accept information relating to a candidate agent, and determine binding characteristics of the candidate agent to the LINGO-1 polypeptide. The determination of binding characteristics can be based on the information relating to the structure of the LINGO-1 polypeptide, and the information relating to the candidate agent.

In yet another aspect, the invention features a computer program residing on a computer readable medium having a plurality of instructions stored thereon, which, when executed by one or more processors, cause the one or more processors to accept information relating to the structure of a complex comprising a LINGO-1 polypeptide, accept information relating to a candidate agent, and determine binding characteristics of the candidate agent to the LINGO-1 polypeptide. The determination of binding characteristics can be based on the information relating to the structure of the LINGO-1 polypeptide and the information relating to the candidate agent.

In another aspect, the invention features a method that includes accepting information relating to the structure of a LINGO-1 polypeptide and modeling the binding characteristics of the LINGO-1 polypeptide with a candidate agent. The method can be implemented by a software system.

In yet another aspect, the invention features a computer program residing on a computer readable medium having a plurality of instructions stored thereon, which, when executed by one or more processors, cause the one or more processors to accept information relating to a structure of a LINGO-1 polypeptide and model the binding characteristics of the LINGO-1 polypeptide with a candidate agent.

In another aspect, the invention features a software system that includes instructions for causing a computer system to accept information relating to a structure of a LINGO-1 polypeptide and model the binding characteristics of the LINGO-1 polypeptide with a candidate agent.

In a further aspect, the invention features a method of modulating LINGO-1 activity in a subject that includes: selecting, e.g., using the methods described herein (e.g., by rational drug design), an agent that is capable of modulating LINGO-1 activity and administering an effective amount of the agent to the subject, such that the LINGO-1 activity is modulated.

In another aspect, the invention features a method of treating a subject having a condition associated with LINGO-1 activity that includes: selecting, e.g., using the methods described herein (e.g., by rational drug design), an agent that is capable of affecting LINGO-1 activity and administering a therapeutically effective amount of the agent to a subject in need thereof.

In yet another aspect, the invention features a method of prophylactically treating a subject susceptible to a condition associated with LINGO-1 activity that includes determining that the subject is susceptible to the condition associated with LINGO-1 activity, selecting, e.g., using the methods described herein (e.g., by rational drug design), an agent that is capable of effecting LINGO-1 activity, and administering a therapeutically effective amount of the agent to the subject.

In embodiments, the agent used in the methods disclosed herein, e.g., the therapeutic and prophylactic methods disclosed herein, inhibits LINGO-1 activity and/or increases myelin levels in vivo. In embodiments, the condition is a demyelinating disease, e.g., multiple sclerosis.

Other features and advantages of the invention will be apparent from the description, drawings and claims.

DESCRIPTION OF DRAWINGS

FIG. 1 is the amino acid sequence of a histidine-tagged LINGO-1 polypeptide (amino acids 1-516 plus 6-His-tag) (SEQ ID NO:1). The fragment used for crystallization is underlined.

FIG. 2 is a 2fo-fc electron density map for the refined 2.7 Å resolution LINGO-1 structure (see also Table 1).

FIG. 3 is a ribbon diagram of a LINGO-1 monomer.

FIG. 4 is a space-filled model of a LINGO-1 monomer. The numbered residues denote glycosylated asparagine residues.

FIGS. 5A-5C are structure diagrams illustrating the tetrameric organization of the LINGO-1 crystal structure. FIG. 5A is a top view of the tetrameric structure; FIG. 5B is a view of the interacting surfaces between the two monomers; and FIG. 5C is a side view of the tetrameric structure.

FIG. 6 is a map of a pSMEG plasmid.

FIGS. 7A-1 to 7A-3 show the sequence of a pSMEG plasmid (SEQ ID NO:2).

FIGS. 8A-8B depict the full length amino acid and nucleotide sequence of human LINGO-1 (SEQ ID NO:3 and 4, respectively). The coding sequence is encoded by nucleotides 53 to 1915 of SEQ ID NO:4.

DETAILED DESCRIPTION

In general, this disclosure relates to LINGO-1 polypeptides, LINGO-1 polypeptide/ligand complexes, crystals of LINGO-1 polypeptides, crystals of LINGO-1 polypeptide/ligand complexes, and related methods and software systems. Without wishing to be bound by theory, it is believed that crystal structures of LINGO-1 polypeptides and crystals of LINGO-1 polypeptide/ligand complexes can be useful for designing or identifying ligands that can interact with LINGO-1 polypeptides.

Ligands that interact with LINGO-1 polypeptides can inhibit or increase LINGO-1 activity. As an example, LINGO-1 inhibition has been shown to induce myelin formation. Therefore, it is believed that identification of LINGO-1 inhibitors may be useful for treatment of disorders characterized by myelin deficiencies, such as multiple sclerosis, Pelizaeus-Merzbacher's disease, central nervous system trauma, leukodystrophies such as Krabbe disease or Canavan Disease, or vitamin B12 deficiencies.

FIG. 1 is the amino acid sequence (SEQ ID NO:1) of a fragment of human LINGO-1 polypeptide (LINGO-1K549_(his6)) that includes a leucine-rich repeat (LRR) domain (amino acids 1-382), an immunoglobulin-like (Ig-like) domain (residues 383-477), a stalk region (amino acids 478-516), and a hexahistidine tag fused to the C-terminus of the stalk region. The hexahistidine tag facilitated purification. Not present in the LINGO-1K549_(his6) polypeptide is a 33 amino acid signal sequence that is found at the N-terminus of the full-length human LINGO-1. The wildtype sequence also includes a transmembrane domain and a short cytoplasmic tail at the C-terminus of the protein (Mi et al., Nat. Neurosci. 7:221-228, 2004). FIG. 2 is an electron density map for a LINGO-1K549_(his6) structure solved to 2.7 Å resolution (see Table 1). FIG. 3 is a ribbon diagram illustrating the structure of the LINGO-1K549_(his6) polypeptide. The coordinates of a crystal structure of the LINGO-1K549_(his6) polypeptide are provided in Table 2.

To determine the structure of LINGO-1, a human LINGO-1-polypeptide can be prepared and crystallized as described below. In general, the human LINGO-1 polypeptide can be prepared as desired. For example, in some embodiments, the human LINGO-1 polypeptide is expressed from a DNA plasmid. The expression can be driven by a promoter, such as an inducible promoter or a constitutive promoter, such as a cytomegalovirus promoter. The human LINGO-1 polypeptide can be expressed as a fusion protein with a suitable tag, such as a polyhistidine (e.g., hexahistidine), glutathione-S-transferase (GST), myc, HA, Strep, or FLAG tag. The tag can facilitate isolation of the human LINGO-1 polypeptide from cells, such as from bacterial cells or from a mammalian cell line. For example, the human LINGO-1 polypeptide can be expressed in and isolated from Chinese Hamster Ovary (CHO) cells. For example, the human LINGO-1 polypeptide can be fused to a hexahistidine tag and isolated by contacting a cell extract with a Nickel resin (e.g., a Nickel-nitrilotriacetic acid (Ni-NTA) resin) to bind the hexahistidine tag, and then releasing the polypeptide by washing the resin with a buffer containing imidazole. Further, a fusion LINGO-1 polypeptide can be cleaved at a protease site engineered into the fusion protein, such as at or near the site of fusion between the polypeptide and the tag.

The human LINGO-1 polypeptide can be placed in solution for collecting spectral data, NMR data, or for growing a crystal. For example, the human LINGO-1 polypeptide can be crystallized in the presence of a salt (e.g., a sodium salt and/or ammonium salt). Crystals can be grown by various methods, such as, for example, sitting or hanging drop vapor diffusion. In general, crystallization can be performed at a temperature of from about 4° C. to about 60° C. (e.g., from about 10° C. to about 45° C., such as at about 12° C., about 15° C., about 18° C., about 20° C., about 25° C., about 30° C., about 32° C., about 35° C., about 37° C.).

In general, a crystal of the human LINGO-1 polypeptide can diffract X-rays to a resolution of about 3.7 Å or less (e.g., about 3.6 Å or less, about 3.5 Å or less, about 3.2 Å or less, about 3.0 Å or less, about 2.7 Å or less, about 2.4 Å or less, about 2.3 Å or less, about 2.2 Åor less, about 2.1 Å or less, about 2.0 Å or less, about 1.9 Å or less, about 1.8 Å or less, about 1.7 Å or less, about 1.6 Å or less, about 1.5 Å or less, or about 1.4 Å or less). In some embodiments, a crystal of the human LINGO-1 polypeptide can diffract X-rays to a resolution of from about 1.7 Å to about 3.7 Å (e.g., the crystal of the human LINGO-1 polypeptide can diffract X-rays to about 2.7 Å, about 3.5 Å or about 3.6 Å).

In certain embodiments, a crystal of the human LINGO-1 polypeptide belongs to space group 1222 with unit cell parameters a=148.7 Å, b=158.6 Å, c=200.0 Å, and α=β=γ=90°. In other embodiments, a crystal of the human LINGO-1 polypeptide belongs to space group 1222 with unit cell parameters a=149.6 Å, b=157.3 Å, c=200.3 Å, and α=β=γ=90′. In other embodiments, a crystal of the human LINGO-1 polypeptide belongs to space group P2₁2₁2 with unit cell parameters a=201.5 Å, b=149.7 Å, c=157.5 Å, and α=β=γ=90°. The space group refers to the overall symmetry of the crystal, and includes point symmetry and space symmetry. In certain embodiments, a crystal of the human LINGO-1 polypeptide belongs to space group 1222 and contains two molecules of the human LINGO-1 polypeptide in the asymmetric unit. In other embodiments, a crystal of the human LINGO-1 polypeptide belongs to space group P2₁2₁2 and contains four molecules of the human LINGO-1 polypeptide in the asymmetric unit. The asymmetric unit is the smallest unit from which the crystal structure can be generated by making use of the symmetry operations of the space group. A crystal is generally made up of the motif defined by the space-group symmetry operations on the asymmetric units, and a translation of that motif through the crystal lattice.

Structural data describing a crystal can be obtained, for example, by X-ray diffraction. X-ray diffraction data can be collected by a variety of sources, X-ray wavelengths and detectors. In some embodiments, rotating anodes and synchrotron sources (e.g., Advanced Light Source (ALS), Berkeley, Calif.; or Advanced Photon Source (APS), Argonne, Ill.) can be used as the source(s) of X-rays. In certain embodiments, X-rays for generating diffraction data can have a wavelength of from about 0.5 Å to about 1.6 Å (e.g., about 0.7 Å, about 0.9 Å, about 1.0 Å, about 1.1 Å, about 1.3 Å, about 1.4 Å, about 1.5 Å, or about 1.6 Å). In some embodiments, area detectors and/or charge-couple devices (CCDs) can be used as the detector(s).

X-ray diffraction data of a crystal of the human LINGO-1 polypeptide can be used to obtain the structural coordinates of the atoms in the complex. The structural coordinates are Cartesian coordinates that describe the location of atoms in three-dimensional space in relation to other atoms in the complex. For example, the structural coordinates listed in Table 2 are the structural coordinates of a crystalline human LINGO-1 polypeptide. The structural coordinates of Table 2 describe the location of atoms of the human LINGO-1 polypeptide (SEQ ID NO:5), (SEQ ID NO:6), (SEQ ID NO:7) and (SEQ ID NO:8) in relation to each other. The structural coordinates can be modified by mathematical manipulation, such as by inversion or integer additions or subtractions. As such, structural coordinates are relative coordinates. For example, structural coordinates describing the location of atoms in the human LINGO-1 polypeptide are not specifically limited by the actual x, y, and z coordinates of Table 2.

The structural coordinates of the human LINGO-1 polypeptide can be used to derive a representation (e.g., a two dimensional representation or three dimensional representation) of the polypeptide or a fragment of the polypeptide. Such representations can be useful for a number of applications, including, for example, the visualization, identification and characterization of an active site of the polypeptide. In certain embodiments, a three-dimensional representation can include the structural coordinates of the human LINGO-1 polypeptide according to Table 2, ±a root mean square (rms) deviation from the alpha carbon atoms of amino acids of not more than about 1.5 Å (e.g., not more than about 1.0 Å, not more than about 0.5 Å).

RMS deviation is the square root of the arithmetic mean of the squares of the deviations from the mean, and is a way of expressing deviation or variation from structural coordinates. Conservative substitutions (see discussion below) of amino acids can result in a molecular representation having structural coordinates within the stated rms deviation. For example, two molecular models of polypeptides that differ from one another by conservative amino acid substitutions can have coordinates of backbone atoms within a stated rms deviation, such as less than about 1.5 Å (e.g., less than about 1.0 Å, less than about 0.5 Å). Backbone atoms of a polypeptide include the alpha carbon (C_(α) or CA) atoms, carbonyl carbon (C) atoms, and amide nitrogen (N) atoms.

Various software programs allow for the graphical representation of a set of structural coordinates to obtain a representation of the human LINGO-1 polypeptide or a fragment of the polypeptide. In general, such a representation should accurately reflect (relatively and/or absolutely) structural coordinates, or information derived from structural coordinates, such as distances or angles between features. In some embodiments, the representation is a two-dimensional figure, such as a stereoscopic two-dimensional figure. In certain embodiments, the representation is an interactive two-dimensional display, such as an interactive stereoscopic two-dimensional display. An interactive two-dimensional display can be, for example, a computer display that can be rotated to show different faces of a polypeptide or a fragment of a polypeptide. In some embodiments, the representation is a three-dimensional representation. As an example, a three-dimensional model can be a physical model of a molecular structure (e.g., a ball-and-stick model). As another example, a three dimensional representation can be a graphical representation of a molecular structure (e.g., a drawing or a figure presented on a computer display). A two-dimensional graphical representation (e.g., a drawing) can correspond to a three-dimensional representation when the two-dimensional representation reflects three-dimensional information, for example, through the use of perspective, shading, or the obstruction of features more distant from the viewer by features closer to the viewer. In some embodiments, a representation can be modeled at more than one level. As an example, when the three-dimensional representation includes a polypeptide, such as a human LINGO-1 polypeptide, the polypeptide can be represented at one or more different levels of structure, such as primary (amino acid sequence), secondary (e.g., α-helices and β-sheets), tertiary (overall fold), and quaternary (oligomerization state) structure. A representation can include different levels of detail. For example, the representation can include the relative locations of secondary structural features of a protein without specifying the positions of atoms. A more detailed representation could, for example, include the positions of atoms.

In some embodiments, a representation can include information in addition to the structural coordinates of the atoms in the human LINGO-1 polypeptide. For example, a representation can provide information regarding the shape of a solvent accessible surface, the van der Waals radii of the atoms of the model, and the van der Waals radius of a solvent (e.g., water). Other features that can be derived from a representation include, for example, electrostatic potential, the location of voids or pockets within a macromolecular structure, and the location of hydrogen bonds and salt bridges.

An agent that interacts with (e.g., binds) the human LINGO-1 polypeptide can be identified or designed by a method that includes using a representation of the polypeptide or a fragment of the polypeptide. Exemplary types of representations include the representations discussed above. In some embodiments, the representation can be of an analog polypeptide or polypeptide fragment. A candidate agent that interacts with the representation can be designed or identified by performing computer fitting analysis of the candidate agent with the representation. In general, an agent is a molecule. Examples of agents include polypeptides, nucleic acids (including DNA or RNA), steroids and non-steroidal organic compounds. An agent that interacts with a polypeptide (e.g., a human LINGO-1 polypeptide) can interact transiently or stably with the polypeptide. The interaction can be mediated by any of the forces noted herein, including, for example, hydrogen bonding, electrostatic forces, hydrophobic interactions, and van der Waals interactions.

As noted above, X-ray crystallography can be used to obtain structural coordinates of the human LINGO-1 polypeptide. However, such structural coordinates can be obtained using other techniques including NMR techniques. Additional structural information can be obtained from spectral techniques (e.g., optical rotary dispersion (ORD), circular dichroism (CD)), homology modeling, and computational methods (e.g., computational methods that can include data from molecular mechanics, computational methods that include data from dynamics assays).

In some embodiments, the X-ray diffraction data can be used to construct an electron density map of the human LINGO-1 polypeptide or a fragment of the polypeptide, and the electron density map can be used to derive a representation (e.g., a two dimensional representation, a three dimensional representation) of the human LINGO-1 polypeptide.

Creation of an electron density map typically involves using information regarding the phase of the X-ray scatter. Phase information can be extracted, for example, either from the diffraction data or from supplementing diffraction experiments to complete the construction of the electron density map. Methods for calculating phase from X-ray diffraction data include, for example, multiwavelength anomalous dispersion (MAD), multiple isomorphous replacement (MIR), multiple isomorphous replacement with anomalous scattering (MIRAS), single isomorphous replacement with anomalous scattering (SIRAS), reciprocal space solvent flattening, molecular replacement, or any combination thereof. These methods generate phase information by making isomorphous structural modifications to the native protein, such as by including a heavy atom or changing the scattering strength of a heavy atom already present, and then measuring the diffraction amplitudes for the native protein and each of the modified cases. If the position of the additional heavy atom or the change in its scattering strength is known, then the phase of each diffracted X-ray can be determined by solving a set of simultaneous phase equations. The location of heavy atom sites can be identified using a computer program, such as SHELXD (Bruker-AXS, Madison, Wis.) or SHELXS (Sheldrick, Institut Anorg. Chemie, Göttingen, Germany), and XPREP (Bruker-AXS, Madison, Wis.); and diffraction data can be processed using computer programs such as MOSFLM, SCALA, SOLOMON, and SHARP (“The CCP4 Suite: Programs for Protein Crystallography,” Acta Crystallogr. Sect. D. 54:905-921, 1997; deLa Fortelle and Brigogne, Meth. Enzym. 276:472-494, 1997). The phase of X-ray scatter for a crystalline human LINGO-1 polypeptide, for example, can be determined by SIRAS using crystals of a platinum derivative of the LINGO-1 polypeptide. To create a platinum derivative of a crystalline LINGO-1 polypeptide, the crystalline LINGO-1 polypeptide can be soaked in a solution containing platinum. Phases obtained by SIRAS from the platinum derivative can then be refined using, for example, non-crystallographic symmetry (NCS) averaging and phase extension in a computer program such as DM (Cowtan and Main, Acta Cryst. D49:148-157, 1993). The resulting model can be further derived by molecular replacement with a second data set. For example, a model derived from a crystalline LINGO-1 polypeptide having space group 1222 can be refined using molecule replacement with a data set from a crystalline LINGO-1 polypeptide having space group P2₁2₁2. Phases obtained by SIRAS from crystals of the native crystalline polypeptide and the platinum derivative can then be used to create an electron density map of the LINGO-1 polypeptide.

The electron density map can be used to derive a representation of a polypeptide or a fragment of a polypeptide by aligning a three-dimensional model of a polypeptide with the electron density map. For example, the electron density map corresponding to the native crystalline human LINGO-1 polypeptide can be aligned with the electron density map corresponding to the platinum derivative of the crystalline human LINGO-1 polypeptide complex derived by an isomorphous replacement method.

The alignment process results in a comparative model that shows the degree to which the calculated electron density map varies from the model of the previously known polypeptide or the previously known complex. The comparative model is then refined over one or more cycles (e.g., two cycles, three cycles, four cycles, five cycles, six cycles, seven cycles, eight cycles, nine cycles, ten cycles) to generate a better fit with the electron density map. Software programs such as CNS (Brunger et al, Acta Crystallogr. D54:905-921, 1998) and REFMAC (Collaborative Computational Project, Number 4. The CCP4 suite: Programs for Protein Crystallography, Acta Crystallogr. D50:760-776, 1994) can be used to refine the model. The quality of fit in the comparative model can be measured by, for example, an R_(factor) or R_(free) value. A smaller value of R_(factor) or R_(free) generally indicates a better fit. Misalignments in the comparative model can be adjusted to provide a modified comparative model and a lower R_(factor) or R_(free) value. The adjustments can be based on information relating to variations of the human LINGO-1 polypeptide (e.g., sequence variation information, alternative structure information, heavy atom derivative information) as appropriate. As an example, in embodiments in which a model of a heavy atom derivative of a crystalline LINGO-1 polypeptide is used, an adjustment can include fitting an approximate model of the native LINGO-1 polypeptide over the model of the heavy atom derivative. As another example, in certain embodiments, an adjustment can include replacing an amino acid in the previously known LINGO-1 polypeptide with an amino acid having a similar structure (a conservative amino acid change). When adjustments to the modified comparative model satisfy a best fit to the electron density map, the resulting model is that which is determined to describe the polypeptide or complex from which the X-ray data was derived. Methods of such processes are disclosed, for example, in Carter and Sweet, eds., “Macromolecular Crystallography” in Methods in Enzymology, Vol. 277, Part B, New York: Academic Press, 1997, and articles therein, e.g., Jones and Kjeldgaard, “Electron-Density Map Interpretation,” p. 173, and Kleywegt and Jones, “Model Building and Refinement Practice,” p. 208.

A machine, such as a computer, can be programmed in memory with the structural coordinates of the human LINGO-1 polypeptide together with a program capable of generating a graphical representation of the structural coordinates on a display connected to the machine. A software system can also be designed and/or utilized to accept and store the structural coordinates. The software system can be capable of generating a graphical representation of the structural coordinates. The software system can also be capable of accessing external databases to identify one or more candidate agents likely to interact with the human LINGO-1 polypeptide.

A machine having a memory containing structure data or a software system containing such data can aid in the rational design or selection of a human LINGO-1 polypeptide agonist of a human LINGO-1 polypeptide antagonist. For example, such a machine or software system can aid in the evaluation of the ability of an agent to associate with the human LINGO-1 polypeptide, or can aid in the modeling of compounds or proteins related by structural or sequence homology to the human LINGO-1 polypeptide. As used herein, an agonist refers to a compound that enhances at least one activity of the human LINGO-1 polypeptide, and an antagonist refers to a compound that inhibits or counteracts at least one activity of the human LINGO-1 polypeptide. For example, a compound may function as an antagonist of the human LINGO-1 polypeptide by, for example, increasing the rate of myelin production by a neural cell, or by inhibiting interaction of the human LINGO-1 polypeptide with the Nogo receptor complex.

The machine can produce a representation (e.g., a two dimensional representation, a three dimensional representation) of the human LINGO-1 polypeptide or a fragment of the polypeptide. A software system, for example, can cause the machine to produce such information. The machine can include a machine-readable data storage medium including a data storage material encoded with machine-readable data. The machine-readable data can include structural coordinates of atoms of the human LINGO-1 polypeptide. Machine-readable storage media (e.g., data storage material) include, for example, conventional computer hard drives, floppy disks, DAT tape, CD-ROM, DVD, and other magnetic, magneto-optical, optical, and other media which may be adapted for use with a machine (e.g., a computer). The machine can also have a working memory for storing instructions for processing the machine-readable data, as well as a central processing unit (CPU) coupled to the working memory and to the machine-readable data storage medium for the purpose of processing the machine-readable data into the desired three-dimensional representation. A display can be connected to the CPU so that the three-dimensional representation can be visualized by the user. Accordingly, when used with a machine programmed with instructions for using the data (e.g., a computer loaded with one or more programs of the sort described herein) the machine is capable of displaying a graphical representation (e.g., a two dimensional graphical representation, a three-dimensional graphical representation) of any of the polypeptides, polypeptide fragments, complexes, or complex fragments described herein.

A display (e.g., a computer display) can show a representation of the human LINGO-1 polypeptide or a fragment of the human LINGO-1 polypeptide. The user can inspect the representation and, using information gained from the representation, generate a model of the human LINGO-1 polypeptide or polypeptide fragment bound to a ligand. The model can be generated, for example, by altering a previously existing representation of the human LINGO-1 polypeptide. Optionally, the user can superimpose a three-dimensional model of an agent on the representation of the human LINGO-1 polypeptide. The agent can be an agonist (e.g., a candidate agonist) of the human LINGO-1 polypeptide. In some embodiments, the agent can be a known compound or a fragment of a known compound. In certain embodiments, the agent can be a previously unknown compound, or a fragment of a previously unknown compound.

It can be desirable for the agent to have a shape that complements the shape of the active site. There can be a preferred distance, or range of distances, between atoms of the agent and atoms of the human LINGO-1 polypeptide. Distances longer than a preferred distance may be associated with a weak interaction between the agent and active site (e.g., the active site of the human LINGO-1 polypeptide). Distances shorter than a preferred distance may be associated with repulsive forces that can weaken the interaction between the agent and the polypeptide. A steric clash can occur when distances between atoms are too short. A steric clash occurs when the locations of two atoms are unreasonably close together, for example, when two atoms are separated by a distance less than the sum of their van der Waals radii. If a steric clash exists, the user can adjust the position of the agent relative to the human LINGO-1 polypeptide (e.g., a rigid body translation or rotation of the agent) until the steric clash is relieved. The user can adjust the conformation of the agent or of the human LINGO-1 polypeptide in the vicinity of the agent in order to relieve a steric clash. Steric clashes can also be removed by altering the structure of the agent, for example, by changing a “bulky group,” such as an aromatic ring, to a smaller group, such as to a methyl or hydroxyl group, or by changing a rigid group to a flexible group that can accommodate a conformation that does not produce a steric clash. Electrostatic forces can also influence an interaction between an agent and a ligand-binding domain. For example, electrostatic properties can be associated with repulsive forces that can weaken the interaction between the agent and the human LINGO-1 polypeptide. Electrostatic repulsion can be relieved by altering the charge of the agent, e.g., by replacing a positively charged group with a neutral group.

Forces that influence binding strength between a candidate agent and the human LINGO-1 polypeptide, respectively, can be evaluated in the polypeptide/agent model. These can include, for example, hydrogen bonding, electrostatic forces, hydrophobic interactions, van der Waals interactions, dipole-dipole interactions, π-stacking forces, and cation-π interactions. The user can evaluate these forces visually, for example by noting a hydrogen bond donor/acceptor pair arranged with a distance and angle suitable for a hydrogen bond. Based on the evaluation, the user can alter the model to find a more favorable interaction between the human LINGO-1 polypeptide and the agent. Altering the model can include changing the three-dimensional structure of the polypeptide without altering its chemical structure, for example by altering the conformation of amino acid side chains or backbone dihedral angles. Altering the model can include altering the position or conformation of the agent, as described above. Altering the model can also include altering the chemical structure of the agent, for example by substituting, adding, or removing groups. For example, if a hydrogen bond donor on the human LINGO-1 polypeptide is located near a hydrogen bond donor on the agent, the user can replace the hydrogen bond donor on the agent with a hydrogen bond acceptor.

The relative locations of an agent and the human LINGO-1 polypeptide, or their conformations, can be adjusted to find an optimized binding geometry for a particular agent to the human LINGO-1 polypeptide. An optimized binding geometry is characterized by, for example, favorable hydrogen bond distances and angles, maximal electrostatic attractions, minimal electrostatic repulsions, the sequestration of hydrophobic moieties away from an aqueous environment, and the absence of steric clashes. The optimized geometry can have the lowest calculated energy of a family of possible geometries for the human LINGO-1 polypeptide/agent complex. An optimized geometry can be determined, for example, through molecular mechanics or molecular dynamics calculations.

A series of representations of the human LINGO-1 polypeptide having different bound agents can be generated. A score can be calculated for each representation. The score can describe, for example, an expected strength of interaction between the human LINGO-1 polypeptide and the agent. The score can reflect one of the factors described above that influence binding strength. The score can be an aggregate score that reflects more than one of the factors. The different agents can be ranked according to their scores.

Steps in the design of the agent can be carried out in an automated fashion by a machine. For example, a representation of the human LINGO-1 polypeptide can be programmed in the machine, along with representations of candidate agents. The machine can find an optimized binding geometry for each of the candidate agents to an active site, and calculate a score to determine which of the agents in the series is likely to interact most strongly with the human LINGO-1 polypeptide.

A software system can be designed and/or implemented to facilitate these steps. Software systems (e.g., computer programs) used to generate representations or perform the fitting analyses include, for example: MCSS, Ludi, QUANTA® (macromolecular X-ray crystallography software), Insight II® (biological compound modeling and simulation software), Cerius²® (modeling and simulation software)_, CHARMm® (software for simulation of biological macromolecules) CHARMm® (software for simulation of biological macromolecules), and Modeler from Accelrys, Inc. (San Diego, Calif.); SYBYL® (molecular modeling software), Unity, FleXX, and LEAPFROG from TRIPOS, Inc. (St. Louis, Mo.); AUTODOCK (Scripps Research Institute, La Jolla, Calif.); GRID (Oxford University, Oxford, UK); DOCK (University of California, San Francisco, Calif.); and Flo+ and Flo99 (Thistlesoft, Morris Township, N.J.). Other useful programs include ROCS, ZAP, FRED, Vida, and Szybki from Openeye Scientific Software (Santa Fe, N. Mex.); Maestro, Macromodel, and Glide from Schrodinger, LLC (Portland, Oreg.); MOE (Chemical Computing Group, Montreal, Quebec), Allegrow (Boston De Novo, Boston, Mass.), CNS (Brunger, et al., Acta Crystall. Sect. D 54:905-921, 1997) and GOLD (Jones et al., J. Mol. Biol. 245:43-53, 1995). The structural coordinates can also be used to visualize the three-dimensional structure of the human LINGO-1 polypeptide using MOLSCRIPT, RASTER3D, or PYMOL (Kraulis, J. Appl. Crystallogr. 24: 946-950, 1991; Bacon and Anderson, J. Mol. Graph. 6: 219-220, 1998; DeLano, The PYMOL Molecular Graphics System (2002) DeLano Scientific, San Carlos, Calif.).

The agent can, for example, be selected by screening an appropriate database, can be designed de novo by analyzing the steric configurations and charge potentials of a human LINGO-1 polypeptide in conjunction with the appropriate software systems, and/or can be designed using characteristics of known ligands, such as the neurotrophin receptor p75 and the Nogo receptor (NogoR). The method can be used to design or select agonists or antagonists of the human LINGO-1 polypeptide. A software system can be designed and/or implemented to facilitate database searching, and/or agent selection and design.

Once an agent has been designed or identified, it can be obtained or synthesized and further evaluated for its effect on the activity of the human LINGO-1 polypeptide. For example, the agent can be evaluated by contacting it with the human LINGO-1 polypeptide and measuring the effect of the agent on polypeptide activity. A method for evaluating the agent can include an activity assay performed in vitro or in vivo.

An activity assay can be a cell-based assay, for example. A cell based assay can include monitoring the effect of a candidate agent on myelin production. Such assays for human LINGO-1 polypeptide inhibitors may involve contacting a candidate inhibitor with cells expressing the human LINGO-1 polypeptide and assaying for an effect on cell morphology. For example, a neural cell line can be contacted with a candidate agent and the cells monitored for an effect on oligodendrocyte differentiation. Decreases in LINGO-1 activity have been shown to increase the differentiation of cells into mature oligodendrocytes, as evidenced by increases in the length of cell processes (Mi et al., Nat. Neuroscience 8:745-751, 2005). LINGO-1 activity can also be assayed by measuring levels of proteins involved in myelin production, such as myelin-associated glycoprotein (MAG), a protein expressed at the onset of myelination; myelin basic protein (MBP), the major protein component of myelin; and other myelin components including oligodendrocyte-myelin glycoprotein (OMpg), myelin oligodendrocyte glycoprotein (MOG) and cyclic nucleotide phosphodiesterase (CNPase). LINGO-1 inhibitors have been shown to promote the upregulation of expression of each of these proteins (Mi et al., Nat. Neuroscience 8:745-751, 2005). Protein levels can be assayed by standard protein detection techniques, such as immunohistochemistry by Western blot analysis or in situ hybridization in cultured cells or whole tissue sections.

Depending upon the action of the agent on the human LINGO-1 polypeptide, the agent can act either as an agonist or antagonist of human LINGO-1 polypeptide activity. An agonist, for example, may decrease the rate of myelin production, or increase the binding affinity of the human LINGO-1 polypeptide to the Nogo receptor complex. Conversely, an antagonist may increase the rate of myelin production or decrease the binding affinity of the human LINGO-1 polypeptide to the Nogo receptor complex. The agent can be contacted with the human LINGO-1 polypeptide in the presence of one or more components of the Nogo receptor complex (e.g., p75 or Nogo-66) in order to determine whether or not the agent inhibits binding of the human LINGO-1 polypeptide to the Nogo receptor complex. A crystal containing the human LINGO-1 polypeptide bound to the identified agent can be grown and the structure determined by X-ray crystallography. A second agent can be designed or identified based on the interaction of the first agent with the human LINGO-1 polypeptide.

Various molecular analysis and rational drug design techniques are further disclosed in, for example, U.S. Pat. Nos. 5,834,228, 5,939,528 and 5,856,116, as well as in PCT Application No. PCT/US98/16879, published as WO 99/09148.

While certain embodiments have been described, other embodiments are also contemplated.

As an example, while embodiments involving the human LINGO-1 polypeptide have been described, the description herein is more generally directed to any LINGO-1 polypeptide.

A LINGO-1 polypeptide can be a full-length, mature polypeptide, including the full-length amino acid sequence of any isoform of a LINGO-1 polypeptide. An isoform is any of several multiple forms of a protein that differ in their primary structure. The full length amino acid and nucleotide sequences of human LINGO-1 are disclosed in FIGS. 8A-8B.

A LINGO-1 polypeptide can be a fragment of a human LINGO-1 polypeptide, such as a signal sequence, an LRR-type domain, an Ig-like domain, a transmembrame domain, a cytoplasmic domain, or a combination thereof. A fragment of a LINGO-1 polypeptide can include more than 40%, 50%, 60%, 80%, 90% or more of a LINGO-1 polypeptide sequence (e.g., SEQ ID NO:1). For example, a LINGO-1 polypeptide can include one or more of the following domains: an LRR-type domain (e.g., about amino acids 1-382 of SEQ ID NO:1), or a fragment or selected residue thereof (e.g., one or more of amino acids Asp13, Arg20, Arg22, Arg43, Glu60, Glu62, Leu94, Leu120, Met123, His176, Tyr142, His145, His185, His209, His 233, Ala238, Trp346, Arg347, Asn349, Asn351, Arg352, and/or Gln353, of SEQ ID NO:1); an Ig-like domain (e.g., about amino acids 383-477 of SEQ ID NO:1), or a fragment or selected residue thereof (e.g., one or more of amino acids Phe396, Arg408, Leu420, Leu426, Phe438, Asp440, Arg446, Tyr447 and/or Ile459 of SEQ ID NO:1); and/or a stalk region (e.g., about amino acids 478-516 of SEQ ID NO:1), or a fragment or selected residue thereof. In other embodiments, the LINGO-1 polypeptide can contain one or more of the active sites and/or structural folds, as described herein. The LINGO-1 polypeptide may contain one or more conservative amino acid substitutions that yield a similar three-dimensional structure, as described herein. For example, in some embodiments, the LINGO-1 polypeptide (or fragment thereof) includes up to 5, 10, 20, 30, 50, 75, 100, 150, or 200 or more conservative substitutions from a predetermined sequence, e.g., a human LINGO-1 amino acid sequence (e.g., SEQ ID NO:1).

A LINGO-1 polypeptide can have an active site. For example, the LRR-like domain includes a likely active site of a LINGO-1 polypeptide. In general, an active site can include a site of ligand binding, or a site of phosphorylation, glycosylation, alkylation, acylation, or other covalent modification. A site of ligand binding can be a site of a site of binding of a component of the Nogo receptor complex, or an agonist or antagonist of LINGO-1 activity. An active site can include a glycosylation site. A ligand binding site can include accessory binding sites adjacent to or proximal to the actual site of binding that may affect activity upon interaction with the ligand. Candidate active sites of the human LINGO-1 polypeptide can be identified by comparing the structure of the LINGO-1 polypeptide with homologous structures of other known polypeptides. For example, one or more active sites of the human LINGO-1 polypeptide can be identified by comparing the structure of the LINGO-1 polypeptide with the structure of the platelet membrane glycoprotein Gp1bα. A candidate active site on LINGO-1 including Trp346 and Arg352 was identified by its similarity to the structure of a ligand-binding site on Gp1bα. Cavities located on the surface of the human LINGO-1 polypeptide also represent candidate ligand-binding sites.

An active site of the human LINGO-1 polypeptide can include amino acids of SEQ ID NO:1 (FIG. 1). For example, an active site of the human LINGO-1 polypeptide can include one or more of amino acids Asp13, Arg20, Arg22, Arg43, Glu60, Glu62, Leu94, Leu120, Met123, His176, Tyr142, His145, His185, His209, His233, Ala238, Trp346, Arg347, Asn349, Asn351, Arg352, Gln353, Phe396, Arg408, Leu420, Leu426, Phe438, Asp440, Arg446, Tyr447 and Ile459 as set forth in the amino acid positions of SEQ ID NO:1. An active site can include a subset of amino acids located at a particular region of the human LINGO-1 polypeptide. For example, an active site can be located on the concave surface of the LRR-domain and include Trp346 and Arg352; His 185, His209, and His233; Asp13; Glu60 and Glu62; or Arg20, Arg22, and Arg43 of SEQ ID NO:1. In another example, an active site can be located on the convex surface of the LRR-domain and include Tyr142 and His145; Leu94, Leu120, and Met123; His176; or Ala238 of SEQ ID NO:1. In another example, an active site can be located on the Ig-domain and include Arg446 and Tyr447; Arg408, Phe438, and Asp440; Phe396; or Leu420, Leu426, and Ile459 of SEQ ID NO:1.

The numbering of the amino acids of the human LINGO-1 polypeptide may be different than that set forth herein, and the sequence of the human LINGO-1 polypeptide may contain certain conservative amino acid substitutions that yield the same or similar three-dimensional structure. For example, the numbering of the human LINGO-1 polypeptide may be different than that set forth in FIG. 1, and the sequence of the human LINGO-1 polypeptide may contain conservative amino acid substitutions but yield the same structure as that defined by the coordinates of Table 2 and illustrated in FIGS. 2-4 and FIGS. 5A-5C. Corresponding amino acids and conservative substitutions in other isoforms or analogs are easily identified by visual inspection of the relevant amino acid sequences or by using commercially available homology software programs (e.g., MODELLAR, MSI Management Simulations, Inc., San Diego, Calif.). The crystal structure coordinates shown in Table 2 were determined from a crystal having space group P2₁2₁2, but the same coordinates +/−a root mean square deviation for alpha carbon atoms of not more than 1.5 Å, can correspond to a crystalline LINGO-1 polypeptide having a different space group, such as I222.

An analog is a polypeptide having conservative amino acid substitutions. A conservative substitution can include switching one amino acid for another with similar polarity, steric arrangement, or of the same class (e.g., hydrophobic, acidic or basic), and includes substitutions having an inconsequential effect on the three-dimensional structure of the human LINGO-1 polypeptide with respect to identification and design of agents that interact with the polypeptide, as well as for molecular replacement analyses and/or for homology modeling.

Variants or mutants of a LINGO-1 polypeptide can be used in the methods, compositions, and three-dimensional models disclosed herein. A variant or mutant of a LINGO-1 polypeptide, or fragment thereof, includes chimeric proteins, labeled proteins (e.g., radiolabeled proteins), fusion proteins, mutant proteins, proteins having similar (e.g., substantially similar) sequences (e.g., proteins having amino acid substitutions (e.g., conserved amino acid substitutions), deletions, insertions), protein fragments, mimetics, so long as the variant has at least a portion of an amino acid sequence of a native protein, or at least a portion of an amino acid sequence of substantial sequence identity to the native protein. In embodiments, the mutant LINGO-1 differs from the amino acid sequence of SEQ ID NO:1 or a fragment thereof by up to 5, 10, 20, 30, 50, 75, 100, 150, or 200 or more amino acid residues. In other embodiments, the mutant LINGO-1 is at least about 70%, 80%, 90%, 95% or more identical to a LINGO-1 polypeptide sequence, e.g., a human LINGO-1 polypeptide (e.g., SEQ ID NO:1).

A “chimeric protein” or “fusion protein” is a fusion of a first amino acid sequence encoding a polypeptide with a second amino acid sequence, wherein the first and second amino acid sequences do not occur naturally as part of a single polypeptide chain.

As used herein, the term “substantially similar” (or “substantially” or “sufficiently” “homologous” or “identical”) is used herein to refer to a first amino acid or nucleotide sequence that contains a sufficient number of identical or equivalent (e.g., with a similar side chain, e.g., conserved amino acid substitutions) amino acid residues or nucleotides to a second amino acid or nucleotide sequence such that the first and second amino acid or nucleotide sequences have similar activities. Sequences similar or homologous (e.g., at least about 85% sequence identity) to the sequences disclosed herein are also part of this application. In some embodiments, the sequence identity can be about 90%, 91%, 92%, 93%, 94%, 95%, 96%, 97%, 98%, 99% or higher.

Calculations of “homology” or “sequence identity” between two sequences are performed as follows. The sequences are aligned for optimal comparison purposes (e.g., gaps can be introduced in one or both of a first and a second amino acid or nucleic acid sequence for optimal alignment and non-homologous sequences can be disregarded for comparison purposes). Typically, the length of a reference sequence aligned for comparison purposes is at least 30%, preferably at least 40%, more preferably at least 50%, even more preferably at lo least 60%, and even more preferably at least 70%, 80%, 90%, 100% of the length of the reference sequence. The amino acid residues or nucleotides at corresponding amino acid positions or nucleotide positions are then compared. When a position in the first sequence is occupied by the same amino acid residue or nucleotide as the corresponding position in the second sequence, then the molecules are identical at that position (as used herein amino acid or nucleic acid “identity” is equivalent to amino acid or nucleic acid “homology”). The percent identity between the two sequences is a function of the number of identical positions shared by the sequences, taking into account the number of gaps, and the length of each gap, which need to be introduced for optimal alignment of the two sequences.

The comparison of sequences and determination of percent identity between two sequences can be accomplished using a mathematical algorithm. In one embodiment, the percent identity between two amino acid sequences is determined using the Needleman and Wunsch ((1970) J. Mol. Biol. 48:444-453) algorithm which has been incorporated into the commercially available GAP program in the GCG software package, using either a Blossum 62 matrix or a PAM250 matrix, and a gap weight of 16, 14, 12, 10, 8, 6, or 4 and a length weight of 1, 2, 3, 4, 5, or 6. In yet another embodiment, the percent identity between two nucleotide sequences is determined using the commercially available GAP program in the GCG software package, using a NWSgapdna.CMP matrix and a gap weight of 40, 50, 60, 30 70, or 80 and a length weight of 1, 2, 3, 4, 5, or 6. Parameters typically used to determine percent homology are a Blossum 62 scoring matrix with a gap penalty of 12, a gap extend penalty of 4, and a frameshift gap penalty of 5. The percent identity between two amino acid or nucleotide sequences can also be determined using the s algorithm of E. Meyers and W. Miller ((1989) CABIOS 4:11-17) which has been incorporated into the ALIGN program (version 2.0), using a PAM120 weight residue table, a gap length penalty of 12 and a gap penalty of 4.

A LINGO-1 polypeptide can originate from a nonmammalian or mammalian species. A mammalian LINGO-1 polypeptide can originate from a human, for example. Exemplary nonhuman mammals include a nonhuman primate (such as a monkey or ape), a mouse, rat, goat, cow, bull, pig, horse, sheep, wild boar, sea otter, cat, and dog. Exemplary nonmammalian species include chicken, turkey, shrimp, alligator, and fish. The LINGO-1 amino acid and nucleotide sequences from several mammalian and nonmammalian species (including, for example, human, mouse, rat, dog, chimpanzee and chicken) are known in the art (see e.g., Mi et al. (2005) Nat. Neuroscience 8:745-751; Carim-Todd, L. et al. (2003) Eur. J. Neurosci. 18(12):3167-3182; and Okafuji et al. (2005) Gene Expr. Patterns 6(1): 57-62).

An agent can be, for example, a chemical compound (e.g., a polypeptide, nucleic acid, peptidomimetic). A peptidomimetic is a chemical compound that can mimic the ability of a peptide to recognize certain physiological molecules, such as proteins and nucleic acids. In some instances, the peptidomimetic includes non-peptidic structural elements that are capable of mimicking or antagonizing the biological action(s) of a natural parent peptide. For example, scissile peptide bonds can be replaced with one or more non-scissile dipeptide isosteres.

The following example is illustrative and not intended as limiting.

EXAMPLE

LINGO-1 was crystallized and its structure determined. The human LINGO-1 is a 614 amino acid protein containing a signal sequence, a leucine-rich repeat-like domain, an immunoglobulin-like domain, a stalk domain, a transmembrane domain and a short cytoplasmic tail (Mi et al., Nat. Neurosci. 7:221-228, 2004). The extracellular region of human LINGO-1 (including the LRR motifs, the Ig-like domain and the stalk region, and not including the signal sequence) was fused at its C-terminus to a hexahistidine tag (FIG. 1). The resulting LINGO-1K549_(his6) construct was subcloned into a pSMEG vector (SEQ ID NO:2) (FIGS. 6, and 7A-1 to 7A-3) behind a murine cytomegalovirus (CMV) promoter (K549 refers to the lysine that occurs at amino acid position 249 of the full-length human LINGO-1 construct, including the 33 amino acid signal sequence. The signal sequence was not present in the LINGO-1K549_(his6) polypeptide.). The construct was verified by sequencing. Mammalian Chinese hamster ovary (CHO) cells were grown and maintained in a humidified incubator with 5% CO₂ at 37° C. Cell culture and DNA transfection for Lec3.2.8.1 cells are described in Zhong et al. (Biochim. Biophys. Acta 1723:143-150, 2005). A stable clone for LINGO-1K549_(his6) construct in Lec3.2.8.1 (1042-5) was established by screening with anti-his4 antibody. Procedures for large-scale production of conditioned media for LINGO-1K549_(his6) were as described previously (Zhong et al., Biochim. Biophys. Acta 1723:143-150, 2005).

To purify LINGO-1K549_(his6), conditioned CHO media expressing the fusion protein (FIG. 1) was exchanged for a buffer of 50 mM Tris at pH 8.0, 100 mM NaCl, to which a cocktail of protease inhibitors was added (complete inhibitors from Roche, Nutley, N.J.). To capture the fusion protein, Ni-NTA resin was equilibrated in 50 mM Tris, pH 8.0, 100 mM NaCl and then added to the cultured media for batch binding (end-over-end) for 2 hours. Once the cultured media was removed, the Ni-NTA resin was packed into a column. The column was connected to an AKTA Explorer (HPLC) and was washed with 4-5 column volumes of 50 mM Tris, pH 8.0; 100 mM NaCl. The protein was eluted with a 12-column volume gradient from 0% to 100% 50 mM Tris, pH 8.0; 100 mM NaCl, 300 mM imidazole. The collected protein fractions were dialyzed into 50 mM Tris, pH 8.0; 500 mM NaCl. For crystallization, the protein was incubated with Carboxypeptidase A (Sigma, St. Louis, Mo.) for 14-16 hours at 25° C., and then dialyzed into 50 mM MES, pH 6.1; 50 mM NaCl. After dialysis, the protein was loaded onto an SP sepharose column (GE Healthcare) and washed with 4-5 column volumes of 50 mM MES, pH 6.1; 50 mM NaCl. The protein was eluted with a 12-column volume gradient from 0% to 100% 50 mM MES, pH 6.1; 750 mM NaCl. The protein peak fractions were collected, concentrated to 5-8 mg/ml and then loaded onto the gel filtration Superdex 200 column equilibrated with TBS. The protein peak fractions were pooled together and concentrated to 4-5 mg/ml for crystallization. The purified protein was fully glycosylated.

LINGO-1K549_(his6) crystals were obtained using the hanging drop vapor diffusion method at 18° C. Diffraction quality crystals were grown from protein solutions with 4 mg/mL of protein and precipitating solutions of 1.2-1.4 M (NH₄)₂SO₄, 0.1 M Na-Citrate, pH 5.0. The protein crystallized in two forms under identical conditions, with both forms found in the same crystallization droplets: I222, with two molecules per asymmetric unit and 74% solvent content, and P2₁2₁2, with four molecules per asymmetric unit and 73% solvent content. For data collection, crystals were gradually transferred from the mother liquor to the stabilizing-cryoprotecting solution containing 2.9 M sodium malonate, pH 5.2 (Holyoak et al., Biological Crystallography D59:2356-2358, 2003). This solution, in which crystals were found to be stable over the period of several days and over the pH range 5-7, was used for crystal derivatization. A single derivative that allowed structure determination by the method of single isomorphous replacement with anomalous scattering (SIRAS) was obtained from a platinum derivative, created by soaking the crystals in 50 mM K₂PtCl₆ and 2.9 M sodium malonate at pH 7.0 for 24 hours. Prior to data collection, all crystals were flush cooled under a nitrogen stream at 100 K.

Two data sets obtained from crystals of space group I222 were used for phase determination: the 3.5 Å native data set and the 3.6 Å data set for the platinum derivative, both measured in-house with a Saturn92 CCD mounted on an FR-E Cu Kα rotating anode source (Rigaku, Japan). The higher resolution native data set was collected to 2.7 Å at Advanced Photon Source (APS) (Argonne, Ill.) with beamline 22-ID of SER-CAT from a crystal that belongs to the P2₁2₁2 space group. All data were integrated and scaled with HKL2000 (Otwinowski and Minor, Methods Enzymol. 276:307-326, 1997).

The initial positions of the platinum (Pt) atoms in the derivative crystal were located with SHELXD (2001, Bruker-AXS, XM, Ver. 6.12; Bruker-AXS, Madison, Wis.) using anomalous differences of Pt atoms at the Cu Kα-edge. The input SAS coefficients were prepared with XPREP (2001 Bruker-AXS, Ver. 6.12; Bruker-AXS, Madison, Wis.). Refinement of heavy-atom parameters, phase calculation and density modification by SOLOMON (Abrahams and Leslie, Acta Cryst. D52: 30-42, 1996) were performed with SHARP (de La Fortelle and Bricogne, Methods Enzymol. 276:472-494, 1997) at 20-3.6 Å resolution, using both anomalous and isomorphous differences from the native and derivative data sets. The final 3.6 Å single isomorphous replacement with anomalous scattering (SIRAS) maps produced with SHARP were of interpretable quality and revealed two LINGO-1 molecules in the asymmetric unit. SHARP phases were further improved by two-fold non-crystallographic symmetry (NCS) averaging and phase extension to 3.5 Å in DM (Cowtan and Main, Acta Cryst. D49:148-157, 1993). The resulting maps allowed us to build an initial, 90% complete (˜855 residues) model with QUANTA (Accelrys, Inc., San Diego, Calif.). This model was then used for molecular replacement with the P2₁2₁2 data set to utilize the higher 2.7 Å resolution data. A clear solution for four molecules in the asymmetric unit was identified with PHASER (McCoy et al., Acta Cryst. D61:458-464, 2005). The I222 and P2₁2₁2 crystal forms share the same tetrameric packing, in which the tetramer can be built by replicating a dimer around the two-fold axis. Subsequent rounds of rebuilding and refinement against the 2.7 Å data set were done with the (Crystallographic Object)-Oriented Toolkit (COOT) (Emsley and Cowtan, Acta Crys. D 60:2126-2132, 2004) and REFMAC (Murshudov et al., Acta Crystallogr. D 53:240-255, 1997).

The final model contains four protein molecules (residues A1-477, B3-475, C2-477, and D3-476), 39 N-acetylglucosamine and 12 mannose residues, and 310 water molecules. Residues 1-2 at the N-termini of B, C and D; 476-477 at the C-termini of B and D; and residues D32-34 were not modeled into the structure due to the lack of adequate electron density, presumably because of disordering. Geometric analysis of the final refined structure performed with MolProbity places 94% of all residues in favored regions and 0.16% as outliers. Statistics for data collection, phasing and refinement are summarized in Table 1.

Table 2 lists the crystal structure coordinates as deduced from the crystal of space group P2₁2₁2 (see Table 1). The native and derivative structures having space group 1222 revealed essentially the same structure and were used to help with phasing. In Table 2, the “#” column assigns an index to each atom for which coordinates are given. The “name” column indicates what type of atom, and the “res” column indicates what type of residue the atom belongs to. The “chain” indicates which polypeptide the atom belongs to. “Res #” gives the residue number for the atom. For example, atom number 1 (the first row in Table 2) is the Nitrogen (N) of Thr1 (according to the sequence set forth in SEQ ID NO:1). Its x, y, and z structural coordinates are given in the X, Y, and Z columns, respectively. The column headed “occ” describes the occupancy assigned to the atom (1.00=full occupancy), and the “B” column provides B factors (or temperature factors) in units of Å². The column labeled “element” lists the atom's element symbol. Water is denoted by “HOH.” “NAG” and “MAN” indicate N-acetylglucosamine and mannose residues, respectively. TABLE 1 Statistics for data collection, phasing and refinement Data collection Native 1 K₂PtCl₆ Native 2 Space Group I222 I222 P2₁2₁2 Unit Cell Dimensions a (Å) 148.7 149.6 201.5 b (Å) 158.6 157.3 149.7 c (Å) 200.0 200.3 157.5 α = β = γ (deg) 90 90 90 Source FR-E CuKα FR-E CuKα APS ID-22 Max. resolution (Å) 3.5 3.6 2.7 Reflections 251,385/29,544 201,963/27,406 915,151/129,631 (total/unique) Completeness (%) 97.1 (98.8) 99.1 (99.8) 98.9 (94.7) R_(sym) ^(a) (%) 11.7 (50.2) 10.5 (45.9)  9.0 (61.2) I/σ(I) 16.1 (3.6)  15.3 (3.4)  20.6 (1.2)  Phasing SIRAS Anom. I/σ(I) (4.5 Å/3.6 Å) 2.3/1.2 R_(iso) ^(b) (%) 43.6 R_(ano) ^(b) (%) 8.6 Number of Pt sites 15 Phasing Power^(c) (4.5 Å/3.6 Å) anomalous isomorphous 1.13/0.6  1.1/0.73 Mean Figure of Merit^(d) (4.5 Å/3.6 Å) 0.45/0.25 Model refinement Native 2 Resolution (Å) 50.0-2.7 Number of Reflections 122,982 Completeness (%) 98.7 (91.3) R_(factor)/R_(free)* (%) 21.5/25.5 No. of protein atoms 15,114 No. of carbohydrate atoms 700 No. of waters 310 r.m.s. deviations from ideal geometry bonds (Å) angles (deg) 0.009 1.25 ^(a)R_(sym) = Σ Σ_(i)|I(h)_(i) − <I(h)>|/Σ Σ_(i)I(h)_(i), where <I(h)> is the mean intensity. Numbers in parentheses reflect statistics for the highest resolution shells. ^(b)R_(iso) = Σ|F_(nat)(h) − F_(Pt)(h)|/Σ F_(nat)(h) and R_(ano) is calculated for the amplitudes of the positive and negative counterparts of the Bijvoet pairs. ^(c)Phasing Power is defined by <|F_(H)|>/<(lack-of-closure)>, where ‘H’ represents heavy-atom. ^(d)Mean figure of merit is the estimated mean cosine of the phase error. *R_(free) is calculated with 5% of the data.

Both crystal forms of LINGO-1 (I222 and P2₁2₁2) revealed a tetrameric structure, consistent with gel filtration data and dynamic light scattering measurements, showing that LINGO-1 exists as a tetramer in solution with a molecular weight of ˜240 kDa. FIG. 2 shows a fragment of the electron density for the refined 2.7 Å resolution structure.

An overall view of the monomeric LINGO-1 structure is shown in FIG. 3. Each monomer is formed from two distinct domains: residues 1-382 constitute the N-terminal LRR-domain and residues 383-477 form the C-terminal Ig-like domain. The relative orientation of the two constituent domains gives the monomeric structure a question mark shape.

The LRR-domain (residues 1-382) adopts an elongated arc shape with a parallel 15-stranded β-sheet on the concave inner face and with highly irregular secondary structures on the convex outer face (FIG. 3). In total, there are twelve LRRs, 23 to 25 residues each, that together create a continuous right-handed super-helical assembly. Each LRR begins with a β-strand and has the consensus 24-residue sequence repeat motif: xL²xxL⁵xL⁷xxN¹⁰xL¹²xxL¹⁵xxxxF²⁰xxL²³x (SEQ ID NO:9), where x can be any amino acid; L is a hydrophobic residue, preferentially Leu, but also Ile, Val, Met, Phe or Thr; N are less conserved in nature and includes mostly Asn, but also Cys, Asp, Leu or Trp; and F represents the hydrophobic residue Phe or Leu. The consensus residues at the indicated positions make up the interior of the LRR-domain. As in several other LRR proteins, the N- and C-termini of the LRR hydrophobic core are shielded from the solvent by two LRR caps: ‘Ncap’ and ‘Ccap’ (FIG. 3). The ‘Ncap’ has two anti-parallel β-strands with two disulfide bridges at the base (Cys3-Cys9 and Cys7-Cys18), an arrangement that is very close in structure to NogoR (He, et al., Neuron 38:177-185, 2003). The ‘Ccap’ is also supported by two disulfide bridges (Cys334-Cys357 and Cys336-Cys382) and, like NogoR, has a characteristic motif consisting of one α-helix and three short 3₁₀-helices. Unlike in the NogoR, however, the interior of the ‘Ccap’ in LINGO-1 is filled almost entirely with a phenylalanine cluster (six aromatic rings from Phe342, Phe350, Phe362, Phe368, Phe371, Phe380 and one aromatic ring from Tyr379). In addition, a short loop segment (residues 349-353) following the α-helix is integrated into the canonical LRR structure in a slightly different way than in NogoR. The result is such that the top of the 5-residue loop bulges away from the β-sheet into the concave space by at least 7.5 Å, therefore showing a more protruding character than the corresponding segment of the same length in NogoR. The position of the bulge loop (FIG. 3), which corresponds to the ligand binding β-switch loop in the platelet membrane glycoprotein Gplbα (Huizing a et al., Science 297:1176-1179, 2002), combined with a character of the surface-exposed and protruding side chains (Trp346, Arg347, and Asn349, Asn351, Gln353, and Arg352 at the tip of the loop), suggests a likely candidate for interaction with a ligand. The electrostatic surface of the molecule (FIG. 4) reveals a pronounced set of electropositive and electronegative patches on all sides of the LRR-domain, except one relatively large hydrophobic patch found on the N-terminal convex side.

Based on the structure of the tetrameric complex, five subsets of amino acids located on the concave surface of the LRR domain were determined to be candidate ligand binding sites: (1) Trp346 and Arg352; (2) His185, His209, and His233; (3) Asp13; (4) Glu60 and Glu62; and (5) Arg20, Arg22, and Arg43. Likewise, four subsets of amino acids located on the convex surface of the LRR domain were determined to be candidate ligand binding sites: (1) Tyr142 and His145; (2) Leu94, Leu120, and Met123; (8) His176; and (9) Ala238.

After completing the LRR-domain, the polypeptide chain enters the compact Ig-like fold (residues 383-477) which represents the classical β-sandwich of two β-sheets cross-linked by one disulfide bond (Cys407-Cys458). Four strands (A, B, D and E) form one β-sheet and five strands (A′, C, C′, F and G) make up the second β-sheet. There is one 310 α-helical turn that connects the E and F strands. Comparison with other Ig-like structures indicates that the closest structural analog of the LINGO-11 g-like domain is the Ig3-module of the neural cell adhesion molecule, NCAM (Soroka et al., Structure 10:1291-1301, 2003), with the calculated identity between the two sequences of ˜30%. Not surprisingly, the majority of the amino acid replacements occurs at the Ig-domain surfaces altering the side chain volumes and/or surface polarity, and most of the conserved amino acids map to the core of the structure and have equivalent conformations to satisfy the fold. The surface electrostatic potential is a combination of negative and positive patches on the ABDE-surface. On the contrary, the opposite A′CC′FG-surface is highly enriched in hydrophobic residues (Ala416, Leu418, Leu420, Leu426, Leu457, Ile459, Ala461, Ala463) surrounded by a number of polar and positively charged residues.

The Ig-domain orientation is such that it projects away from the convex LRR arc creating a wide solvent-exposed cleft at the back of the LRR-domain, with an elbow angle of ˜90 degrees (FIG. 4). The walls of the cleft are formed by the C-terminal convex surface of LRR (repeats 10-12 and the Ccap), on one side, and by the A′CC′FG β-sheet of the Ig-domain on the other. The opposing surfaces are relatively far apart and have different properties. The convex surface is made up of mostly polar and charged residues, while the opposing Ig-surface is rather flat and is lined up with the amino acids that are predominantly hydrophobic (as indicated above). Small interdomain interactions occur at the tip of the elbow and involve van der Waals contacts between residues on the FG-loop (Ala463, Gly464) and on the C-terminal portion of LRR (Cys336, Arg337 and Cys382). Of note are the disulfide bond at the tip of the elbow, Cys336-Cys382, and the absence of an interdomain linker (as Arg383 is the first residue of the first 13-strand and a component of the ABDE β-sheet). Such linkage between the domains constrains the positioning of the two relative to each other.

Based on the structure of the tetrameric complex, five subsets of amino acids on the Ig domain were determined to be candidate ligand binding sites: (1) Arg446 and Tyr447; (2) Arg408, Phe438, and Asp440; (3) Phe396; and (4) Leu420, Leu426, and Ile459.

The glycoform of LINGO-1 in CHO restricted cells is expected to be predominantly high-mannose type glycans such as Man₅GlcNAc₂, which is consistent with our mass spectrometry data. The crystallized glycoprotein contains eight typical N-glycosylation consensus sites. Six of them are located in the LRR-domain (Asn105, Asn163, Asn225, Asn235, Asn254, and Asn3O₂) and two in the Ig-like domain (Asn466 and Asn453). All of these sites are positioned at the domain surfaces. Electron density can be assigned for carbohydrate moieties at all of these locations, except for the Asn466 site. The latter, although located at the surface, is wrapped up closely with a symmetry-related LINGO-1 partner, as described below and as shown in FIG. 5B. Since the protein packing leaves no room for glycosylation at Asn466, the N-glycan linked to Asn466 would prevent the LINGO-1 tetramerization observed in the crystals. The oligosaccharides at the remaining seven sites are spread over the structure as shown by the numbered residues in FIG. 4, where #1 corresponds to Asn 105, #2 to Asn163, #3 to Asn 225, #4 to Asn 235, #5 to Asn 254, #6 to Asn 302, and #7 to Asn 453. Out of four faces of the LRR-domain, only the convex outer surface is completely bare of carbohydrates, a finding consistent with its role in self-association. The concave and the two side surfaces, each bearing two N-glycan binding sites, are largely covered by carbohydrate. The last carbohydrate moiety maps to the Ig-face A′CC′ FG, proximal to the C-terminus and remote from the intermolecular interface (FIG. 4).

In general, the presence of extensive glycosylation on glycoprotein surfaces limits their accessibility for interaction with ligands, and in most cases the surfaces that are not covered by sugars are where the ligands are predicted to bind (Rudd et al., JMB 293:351-366, 1999). Therefore, it seems unlikely that the concave LRR surface of LINGO-1, with two sugar moieties right at the arc centre, can play a major role in accommodating such large protein partners as NogoR or p75. This would be contrary to the other LRR-containing receptors that frequently use the concave surfaces for interaction with their ligands (Bell et al., Trends Immunol. 24:528, 2003). Since there is no evidence to suggest that the Asn-linked N-glycans are directly associated with ligand binding, it is also possible that the LINGO-1 glycosylation helps prevent non-specific protein-protein interactions or helps maintain the proper scaffold for subsequent ligand binding.

Crystallization, size-exclusion chromatography and dynamic light scattering all indicate that LINGO-1 adopts a tetrameric form both in crystals and in solution. In the crystal, the four independent copies of LINGO-1 interact to constitute a condensed tetrameric structure. A pseudo four-fold axis of rotation relates the four molecules in a ring-like structure with a large hole at the center (˜40 Å in diameter; outer ring diameter ˜95 Å; FIG. 5A). This arrangement places the N-terminal convex side of each LRR-domain at the elbow between the domains of the adjacent molecule (FIG. 5B), reminiscent of a cytokine/receptor binding mode. As in the latter case, the attachment point between two molecules is provided by three surfaces: one formed by the N-terminal curved repeats 1-6 and two elbow surfaces formed, as described above, by the C-terminal curved repeats 11-12, the ‘C-cap’ and the A′CC′FG β-strands, respectively. Hence, the four LRR-domains interlock the ring in a head-to-tail fashion, and the corresponding Ig-like modules extend from the perimeter of the ring in a landing gear fashion (see FIG. 5C). If we apply this geometry relative to a cell surface, then the protein rotation axis will lie approximately normal to the surface with the membrane-proximal C-terminal ends pointing in the same direction, i.e., towards the cell membrane.

Each intermolecular interface reveals a tight geometric match between the binding surfaces and the precise stereochemical complementarity of the interaction. The solvent-accessible surface area buried at each intermolecular interface is relatively large, ˜2400 Å² total from the three individual components, which suggests a strong association. The above evidence combined with the multivalent character of interaction suggest that the contacts in the tetramer are not just mere crystal contacts. LENGTHY TABLE REFERENCED HERE US20070274918A1-20071129-T00001 Please refer to the end of the specification for access instructions.

Other embodiments are in the claims. LENGTHY TABLE The patent application contains a lengthy table section. A copy of the table is available in electronic form from the USPTO web site (http://seqdata.uspto.gov/?pageRequest=docDetail&DocID=US20070274918A1). An electronic copy of the table will also be available from the USPTO upon request and payment of the fee set forth in 37 CFR 1.19(b)(3). 

1. A crystallized LINGO-1 polypeptide.
 2. The crystallized LINGO-1 polypeptide of claim 1, wherein the LINGO-1 polypeptide comprises a leucine-rich repeat (LRR) domain, an immunoglobulin-like (Ig-like) domain, or a stalk domain, or a combination thereof.
 3. The crystallized LINGO-1 polypeptide of claim 1, wherein the LINGO-1 polypeptide comprises the amino acid sequence of SEQ ID NO:1.
 4. The crystallized LINGO-1 polypeptide of claim 1, wherein the crystallized LINGO-1 polypeptide has space group P2₁2₁2 or I222.
 5. The crystallized LINGO-1 polypeptide of claim 4, wherein the crystallized LINGO-1 polypeptide has unit cell dimensions selected from the group consisting of a=201.5 Å, b=149.7 Å, c=157.5 Å, and α=β=γ=90°, a=148.7 Å, b=158.6 Å, c=200.0 Å, and α=β=γ=90°, and a=149.6 Å, b=157.3 Å, c=200.3 Å, and α=β=γ=90°
 6. The crystallized LINGO-1 polypeptide of claim 1, wherein the crystallized polypeptide is capable of diffracting X-rays to a resolution of at least about 3.7 Å.
 7. The crystallized LINGO-1 polypeptide of claim 1, wherein the crystallized polypeptide comprises the structural coordinates of Table 2, +/−a root mean square deviation for alpha carbon atoms of not more than 1.5 Å.
 8. The crystallized LINGO-1 polypeptide of claim 1, wherein the crystallized polypeptide comprises structural coordinates of an atom selected from the group consisting of atoms of amino acids Asp13, Arg20, Arg22, Arg43, Glu60, Glu62, Leu94, Leu120, Met123, His176, Tyr142, His145, His185, His209, His233, Ala238, Trp346, Arg347, Asn349, Asn351, Arg352, Gln353, Phe396, Arg408, Leu420, Leu426, Phe438, Asp440, Arg446, Tyr447 and Ile459 of the LINGO-1 polypeptide as set forth in SEQ ID NO:1.
 9. A crystallized polypeptide-ligand complex comprising: a LINGO-1 polypeptide; and a ligand that is an agonist of the LINGO-1 polypeptide or an antagonist of the LINGO-1 polypeptide.
 10. A method comprising: using a three-dimensional model of a LINGO-1 polypeptide to design an agent that binds the LINGO-1 polypeptide.
 11. The method of claim 10, wherein the three-dimensional model comprises an LRR domain of the LINGO-1 polypeptide, an immunoglobulin-like (Ig-like) domain, or a stalk domain, or a combination thereof.
 12. The method of claim 10, wherein the agent inhibits LINGO-1 activity.
 13. The method of claim 10, wherein the three-dimensional model comprises the structural coordinates according to Table 2, +/−a root mean square deviation for alpha carbon atoms of not more than 1.5 Å.
 14. The method of claim 10, wherein the three-dimensional model comprises structural coordinates of an atom selected from the group consisting of atoms of amino acids Asp13, Arg20, Arg22, Arg43, Glu60, Glu62, Leu94, Leu120, Met123, His176, Tyr142, His145, His185, His209, His233, Ala238, Trp346, Arg347, Asn349, Asn351, Arg352, Gln353, Phe396, Arg408, Leu420, Leu426, Phe438, Asp440, Arg446, Tyr447 and Ile459 of the LINGO-1 polypeptide as set forth in SEQ ID NO:1.
 15. The method of claim 10, further comprising calculating a distance between an atom of the LINGO-1 polypeptide and an atom of the agent.
 16. The method of claim 10, further comprising providing a composition comprising the LINGO-1 polypeptide.
 17. The method of claim 16, wherein the composition includes the agent designed to bind the LINGO-1 polypeptide.
 18. The method of claim 10, further comprising determining the interaction of the agent with the LINGO-1 polypeptide.
 19. The method of claim 10, further comprising comparing the interaction of the agent with the LINGO-1 polypeptide to an interaction of a second agent with the LINGO-1 polypeptide.
 20. A method comprising: using a three-dimensional model of a LINGO-1 polypeptide-ligand complex to design an agent that binds the LINGO-1 polypeptide.
 21. A method, comprising: using a three-dimensional model of a complex comprising a LINGO-1 polypeptide to design an agent that binds the LINGO-1 polypeptide.
 22. The method of claim 21, further comprising determining the interaction of the agent with the LINGO-1 polypeptide.
 23. The method of claim 22, further comprising comparing the interaction of the agent with the LINGO-1 polypeptide to an interaction of a second agent with the LINGO-1 polypeptide.
 24. A method, comprising: selecting an agent by performing rational drug design with a three-dimensional structure of a LINGO-1 polypeptide, or a LINGO-1 polypeptide-ligand complex; contacting the agent with the LINGO-1 polypeptide; and detecting an ability of the agent to bind the LINGO-1 polypeptide.
 25. The method of claim 24, wherein the agent is selected via computer modeling.
 26. The method of claim 24, further comprising synthesizing the agent.
 27. The method of claim 26, further comprising detecting an ability of the agent to inhibit LINGO-1 activity.
 28. The method of claim 26, further comprising detecting an ability of the agent to increase myelin formation in vitro or in vivo.
 29. The method of claim 24, further comprising: obtaining a supplemental crystalline complex comprising the LINGO-1 polypeptide and the agent; determining the three-dimensional structure of the supplemental crystalline complex; selecting a second agent by performing rational drug design with the three-dimensional structure of the supplemental crystalline complex; contacting the second agent with the LINGO-1 polypeptide; and detecting the ability of the second agent to bind the LINGO-1 polypeptide.
 30. The method of claim 29, wherein the second agent is selected via computer modeling.
 31. The method of claim 29, further comprising synthesizing the second agent.
 32. The method of claim 29, further comprising detecting an ability of the second agent to inhibit LINGO-1 activity.
 33. The method of claim 29, further comprising detecting an ability of the second agent to increase myelin levels in vitro or in vivo.
 34. A method, comprising: providing a composition comprising a LINGO-1 polypeptide, or a LINGO-1 polypeptide-ligand complex; and crystallizing the composition to form a crystalline complex comprising the LINGO-1 polypeptide, wherein the crystalline complex can diffract X-rays to a resolution of at least about 3.7 Å.
 35. The method of claim 34, wherein the method includes using hanging drop vapor diffusion.
 36. A software system, comprising instructions for causing a computer system to: accept information relating to the structure of a LINGO-1 polypeptide; accept information relating to a candidate agent; and determine binding characteristics of the candidate agent to the LINGO-1 polypeptide, wherein the determination is based on the information relating to the structure of the LINGO-1 polypeptide, and the information relating to the candidate agent.
 37. A computer program residing on a computer readable medium having a plurality of instructions stored thereon, which, when executed by one or more processors, cause the one or more processors to: accept information relating to the structure of a complex comprising a LINGO-1 polypeptide; accept information relating to a candidate agent; and determine binding characteristics of the candidate agent to the LINGO-1 polypeptide, wherein the determination is based on the information relating to the structure of the LINGO-1 polypeptide and the information relating to the candidate agent.
 38. A method, comprising: accepting information relating to the structure of a LINGO-1 polypeptide; and modeling the binding characteristics of the LINGO-1 polypeptide with a candidate agent, wherein the method is implemented by a software system.
 39. A computer program residing on a computer readable medium having a plurality of instructions stored thereon, which, when executed by one or more processors, cause the one or more processors to: accept information relating to a structure of a LINGO-1 polypeptide; and model the binding characteristics of the LINGO-1 polypeptide with a candidate agent.
 40. A software system, comprising instructions for causing a computer system to: accept information relating to a structure of a LINGO-1 polypeptide; and model the binding characteristics of the LINGO-1 polypeptide with a candidate agent.
 41. A method of modulating LINGO-1 activity in a subject, comprising: using rational drug design to select an agent that is capable of modulating LINGO-1 activity; and administering a therapeutically effective amount of the agent to the subject.
 42. The method of claim 41, wherein the rational drug design includes using a three-dimensional structure of a crystalline complex that comprises a LINGO-1 polypeptide.
 43. The method of claim 42, wherein the crystalline complex further comprises a ligand.
 44. A method of treating a subject having a condition associated with LINGO-1 activity, comprising: using rational drug design to select an agent that is capable of affecting LINGO-1 activity; and administering a therapeutically effective amount of the agent to a subject in need thereof.
 45. A method of prophylactically treating a subject susceptible to a condition associated with LINGO-1 activity, comprising: determining that the subject is susceptible to the condition associated with LINGO-1 activity; using rational drug design to select an agent that is capable of effecting LINGO-1 activity; and administering a therapeutically effective amount of the agent to the subject. 